{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import joblib \n",
    "from joblib import Parallel, delayed\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import os\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "input_dir = '../concats_cut/'\n",
    "concat_01 = joblib.load(input_dir + 'concat_01.lz4')\n",
    "y_concat_01 = concat_01['RULR'].values\n",
    "x_concat_01 = concat_01.drop(columns=['RULR'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "concat_02 = joblib.load(input_dir + 'concat_02.lz4')\n",
    "y_concat_02 = concat_02['RULR'].values\n",
    "x_concat_02 = concat_02.drop(columns=['RULR'])\n",
    "concat_03 = joblib.load(input_dir + 'concat_03.lz4')\n",
    "y_concat_03 = concat_03['RULR'].values\n",
    "x_concat_03 = concat_03.drop(columns=['RULR'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((103367, 39), (100325, 39), (75039, 39))"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_concat_01.shape,x_concat_02.shape,x_concat_03.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 特征选择"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.信息熵过滤"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calc_ent_basis(ser, col):\n",
    "    \"\"\"\n",
    "        描述：\n",
    "            计算信息熵的方法\n",
    "    \"\"\"\n",
    "\n",
    "    uniq_value_ser = ser.value_counts()\n",
    "    ser_len = len(ser)\n",
    "    ent = 0.0\n",
    "    for val_cnt in uniq_value_ser:\n",
    "        p = val_cnt / ser_len\n",
    "        logp = np.log2(p)\n",
    "        ent -= p * logp\n",
    "    return {col: ent}\n",
    "def calc_ent_parallel(df):\n",
    "    '''\n",
    "    描述：\n",
    "        并行计算\n",
    "    '''\n",
    "    ent_list = Parallel(n_jobs=48,verbose=1)(delayed(calc_ent_basis)(df.loc[:,col], col) for col in df.columns)\n",
    "    ent_dict = {}\n",
    "    for item in ent_list:\n",
    "        ent_dict.update(item)\n",
    "    return ent_dict\n",
    "\n",
    "def ent_filter(df, ent_thred=0.8):\n",
    "    '''\n",
    "    描述：\n",
    "        过滤信息熵小于ent_thred的变量\n",
    "    '''\n",
    "    ent_dict = calc_ent_parallel(df)\n",
    "    ent_ser = pd.Series(ent_dict)\n",
    "    low_ent_cols = list(ent_ser[ent_ser <= ent_thred].index)\n",
    "    ent_cols = [col for col in df.columns if col not in low_ent_cols]\n",
    "    return df[ent_cols], ent_dict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=48)]: Using backend LokyBackend with 48 concurrent workers.\n",
      "[Parallel(n_jobs=48)]: Done  24 out of  39 | elapsed:    3.0s remaining:    1.8s\n",
      "[Parallel(n_jobs=48)]: Done  39 out of  39 | elapsed:    3.1s finished\n"
     ]
    }
   ],
   "source": [
    "x_concat_01_ent, ent_dict = ent_filter(x_concat_01, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['CL', 'spindle_load', 'Current_1__abs_energy', 'Current_1__kurtosis',\n",
       "       'Current_1__mean', 'Current_1__mean_abs_change',\n",
       "       'Current_1__mean_change', 'Current_1__skewness', 'Current_1__variance',\n",
       "       'Vibration_1__abs_energy', 'Vibration_1__kurtosis', 'Vibration_1__mean',\n",
       "       'Vibration_1__mean_abs_change', 'Vibration_1__mean_change',\n",
       "       'Vibration_1__skewness', 'Vibration_1__variance',\n",
       "       'Vibration_2__abs_energy', 'Vibration_2__kurtosis', 'Vibration_2__mean',\n",
       "       'Vibration_2__mean_abs_change', 'Vibration_2__mean_change',\n",
       "       'Vibration_2__skewness', 'Vibration_2__variance',\n",
       "       'Vibration_3__abs_energy', 'Vibration_3__kurtosis', 'Vibration_3__mean',\n",
       "       'Vibration_3__mean_abs_change', 'Vibration_3__mean_change',\n",
       "       'Vibration_3__skewness', 'Vibration_3__variance',\n",
       "       'Current_1__abs_energy_scale', 'Vibration_1__abs_energy_scale',\n",
       "       'Vibration_2__abs_energy_scale', 'Vibration_3__abs_energy_scale'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_concat_01_ent.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f5485503b70>"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(pd.Series(ent_dict), bins=20, kde=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2. 2!排列熵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyentrp import entropy as ent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "def calc_permutation_ent_basis(order ,ser, col):\n",
    "    '''\n",
    "    描述：\n",
    "        计算序列order阶排序熵\n",
    "    '''\n",
    "    pe = ent.permutation_entropy(ser.values, order=order, delay=20000, normalize=True)\n",
    "    return {col: pe}\n",
    "\n",
    "def calc_permutation_ent_parallel(df):\n",
    "    '''\n",
    "    描述：\n",
    "        并行计算排序熵\n",
    "    '''\n",
    "    pe_list = Parallel(n_jobs=48,verbose=1)(delayed(calc_permutation_ent_basis)(2, df.loc[:,col], col) for col in df.columns)\n",
    "    pe_dict = {}\n",
    "    for item in pe_list:\n",
    "        pe_dict.update(item)\n",
    "    return pe_dict\n",
    "\n",
    "def pe_filter(df, pe_thred=1.0):\n",
    "    '''\n",
    "    描述：\n",
    "        过滤排列熵大于等于阈值的变量\n",
    "    '''\n",
    "    \n",
    "    pe_dict = calc_permutation_ent_parallel(df)\n",
    "    pe_ser = pd.Series(pe_dict)\n",
    "    high_pe_cols = list(pe_ser[pe_ser >= pe_thred].index)\n",
    "    pe_cols = [col for col in df.columns if col not in high_pe_cols]\n",
    "    return df[pe_cols], pe_dict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Parallel(n_jobs=48)]: Using backend LokyBackend with 48 concurrent workers.\n",
      "[Parallel(n_jobs=48)]: Done   9 out of  34 | elapsed:    0.0s remaining:    0.1s\n",
      "[Parallel(n_jobs=48)]: Done  34 out of  34 | elapsed:    0.1s finished\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f542f752b70>"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_concat_01_pe, pe_dict = pe_filter(x_concat_01_ent, 0.999)\n",
    "sns.distplot(pd.Series(pe_dict)[1:], bins=100, kde=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'CL': -0.0,\n",
       " 'spindle_load': 0.9942611183830942,\n",
       " 'Current_1__abs_energy': 0.9999775578555179,\n",
       " 'Current_1__kurtosis': 0.9999389405270587,\n",
       " 'Current_1__mean': 0.999979997363446,\n",
       " 'Current_1__mean_abs_change': 0.9984809518160792,\n",
       " 'Current_1__mean_change': 0.9999999002576505,\n",
       " 'Current_1__skewness': 0.9999988988898747,\n",
       " 'Current_1__variance': 0.9990538121114023,\n",
       " 'Vibration_1__abs_energy': 0.9914617919042129,\n",
       " 'Vibration_1__kurtosis': 0.9999891716489355,\n",
       " 'Vibration_1__mean': 0.9999562830377454,\n",
       " 'Vibration_1__mean_abs_change': 0.9843812550869301,\n",
       " 'Vibration_1__mean_change': 0.9999999766472131,\n",
       " 'Vibration_1__skewness': 0.99993105888046,\n",
       " 'Vibration_1__variance': 0.990959834190775,\n",
       " 'Vibration_2__abs_energy': 0.9895479195943457,\n",
       " 'Vibration_2__kurtosis': 0.9999969650696995,\n",
       " 'Vibration_2__mean': 0.9999357146353502,\n",
       " 'Vibration_2__mean_abs_change': 0.9825478283175533,\n",
       " 'Vibration_2__mean_change': 0.9999870667728628,\n",
       " 'Vibration_2__skewness': 0.9996201393947796,\n",
       " 'Vibration_2__variance': 0.9887902823544573,\n",
       " 'Vibration_3__abs_energy': 0.990693587527431,\n",
       " 'Vibration_3__kurtosis': 0.999884913472286,\n",
       " 'Vibration_3__mean': 0.9998926483128057,\n",
       " 'Vibration_3__mean_abs_change': 0.9897145008578616,\n",
       " 'Vibration_3__mean_change': 0.9999999700046427,\n",
       " 'Vibration_3__skewness': 0.9997438264580312,\n",
       " 'Vibration_3__variance': 0.9884894061018153,\n",
       " 'Current_1__abs_energy_scale': 0.9987361806967259,\n",
       " 'Vibration_1__abs_energy_scale': 0.9908663088163683,\n",
       " 'Vibration_2__abs_energy_scale': 0.9887902823544573,\n",
       " 'Vibration_3__abs_energy_scale': 0.9893842049945261}"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pe_dict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "def box_filter(x):\n",
    "    '''\n",
    "    描述：\n",
    "        箱线图去异常值，x为array\n",
    "    '''\n",
    "    x = x.copy()\n",
    "    q1 = np.percentile(x, 25)\n",
    "    q3 = np.percentile(x,75)\n",
    "    iqr = q3 - q1\n",
    "    low_bound = q1 - 15*iqr\n",
    "    up_bound = q3 + 15*iqr\n",
    "    x[x<low_bound] = low_bound\n",
    "    x[x>up_bound] = up_bound\n",
    "    return x \n",
    "\n",
    "\n",
    "def plot_feature_trend(df, apply_cols):\n",
    "    for col in apply_cols:\n",
    "        plt.figure()\n",
    "        plt.plot(box_filter(df[col]))\n",
    "        plt.title(col)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_feature_trend(x_concat_01, apply_cols=['spindle_load'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_feature_trend(x_concat_01_pe, apply_cols=list(x_concat_01_pe.columns))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 构建health indicator（3步骤）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.variable compression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=1, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=True)"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=1, whiten=True)\n",
    "pca.fit(x_concat_01_pe.drop(columns=['CL']).values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "compressed_var = pca.transform(x_concat_01_pe.drop(columns=['CL']).values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "compressed_var = compressed_var.reshape(-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f54446f6208>]"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "filter_var = compressed_var[(-0.05<compressed_var)&(compressed_var<10)]\n",
    "plt.plot(filter_var)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.trend extraction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyhht.visualization import plot_imfs\n",
    "from pyhht.emd import EMD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "decomposer = EMD(filter_var, n_imfs=10, maxiter=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "imfs = decomposer.decompose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_imfs(filter_var, imfs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
